Problem: As you very well know, this year's funkiest numbers are so called triangular numbers (that is, integers that are representable as <image>, where k is some positive integer), and the coolest numbers are those that are representable as a sum of two triangular numbers.

A well-known hipster Andrew adores everything funky and cool but unfortunately, he isn't good at maths. Given number n, help him define whether this number can be represented by a sum of two triangular numbers (not necessarily different)!

Input

The first input line contains an integer n (1 ≤ n ≤ 109).

Output

Print "YES" (without the quotes), if n can be represented as a sum of two triangular numbers, otherwise print "NO" (without the quotes).

Examples

Input

256


Output

YES


Input

512


Output

NO

Note

In the first sample number <image>.

In the second sample number 512 can not be represented as a sum of two triangular numbers.

Solution (in JAVA):

Solution:
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.math.BigInteger;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collections;
import java.util.HashMap;
import java.util.HashSet;
import java.util.StringTokenizer;



public class Problem1 {


	public static void main(String[] args) {
		// TODO Auto-generated method stub
		InputStream inputStream = System.in;
		OutputStream outputStream = System.out;
		InputReader in = new InputReader(inputStream);
		PrintWriter out = new PrintWriter(outputStream);
		long n = in.nextInt();
		long k1 = 1;
		long tar = 0;
		while(2*n - k1*(k1+1) >= 2)
		{
			tar = 2*n - k1*(k1+1); 
			if(search(tar, n))
			{
				out.println("YES");
				out.close();
				return;
			}
			++k1;
		}
		
		out.println("NO");
		out.close();

	}
	
	static boolean search(long tar, long n)
	{
		long hi = n + 1, lo = 1;
		while(hi > lo)
		{
			long mid = lo + (hi - lo)/2;
			
			if(tar <= mid*(mid  + 1))
			{
				hi = mid;
			}
			else
			{
				lo = mid + 1;
			}
		}
		
		return tar ==  lo*(lo+1);
		
	}

	
	static class InputReader {
	    public BufferedReader reader;
	    public StringTokenizer tokenizer;

	    public InputReader(InputStream stream) {
	        reader = new BufferedReader(new InputStreamReader(stream), 32768);
	        tokenizer = null;
	    }

	    public String next() {
	        while (tokenizer == null || !tokenizer.hasMoreTokens()) {
	            try {
	                tokenizer = new StringTokenizer(reader.readLine());
	            } catch (IOException e) {
	                throw new RuntimeException(e);
	            }
	        }
	        return tokenizer.nextToken();
	    }

	    public int nextInt() {
	        return Integer.parseInt(next());
	    }
	    
	    public long nextLong()
	    {
	    	return Long.parseLong(next());
	    }

	}


}